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Flow in a two-dimensional collapsible channel with rigid inlet and outlet
1Department of Aeronautical Engineering, Nagoya University, Japan.
Journal of Biomechanical Engineering
|August 1, 1989
Summary
This study investigates fluid-conveying collapsible tube oscillations using a flexible membrane channel. Numerical simulations reveal that inlet/outlet fluid dynamics significantly impact system behavior, with external pressure determining stable or oscillatory states.
Area of Science:
- Fluid dynamics
- Mechanical engineering
- Nonlinear dynamics
Background:
- Collapsible tubes are prevalent in biological and engineering systems.
- Understanding their dynamic behavior, particularly oscillations, is crucial for design and function.
- Fluid-structure interaction in collapsible geometries presents complex challenges.
Purpose of the Study:
- To analyze the oscillatory behavior of a fluid-conveying collapsible tube.
- To investigate the influence of membrane flexibility and fluid flow on system dynamics.
- To explore the conditions leading to stable equilibrium versus oscillatory solutions.
Main Methods:
- Utilized a two-dimensional flexible channel model composed of membranes.
- Coupled large deflection membrane equilibrium equations with 1D incompressible flow (continuity and momentum) including flow separation.
- Employed an explicit finite difference method for numerical solution of the governing equations.
Main Results:
- Observed that fluids in connected rigid channels strongly affect the system's oscillation.
- Demonstrated the existence of both stable static equilibrium and oscillatory solutions for identical parameter values.
- Identified sufficiently large external pressure as a condition for multiple solution types.
Conclusions:
- The interaction between fluid flow and the collapsible membrane is complex.
- External pressure plays a critical role in determining the system's final state.
- Numerical methods are effective for studying such fluid-structure interaction phenomena.